Matrix representation of real and hypercomplex Appell polynomials
In a unfied approach to the matrix representation of di erent types of real Appell polynomials was developed, based on a special matrix which has only the natural numbers as entries. This matrix, also called creation matrix, generates the Pascal matrix and allows to consider a set of Appell polynomi...
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| Format: | conferenceObject |
| Language: | eng |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/10314/3244 |
| Country: | Portugal |
| Oai: | oai:bdigital.ipg.pt:10314/3244 |
| Summary: | In a unfied approach to the matrix representation of di erent types of real Appell polynomials was developed, based on a special matrix which has only the natural numbers as entries. This matrix, also called creation matrix, generates the Pascal matrix and allows to consider a set of Appell polynomials as solution of a rst order vector di erential equation with certain initial conditions. Besides a new elementary construction of the monogenic exponential function studied in, we analogously derive examples of di erent sets of non-homogenous hypercomplex Appell polynomials given by its matrix representation. |
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